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Use Limits to Describe the Behavior of the Rational Function f(x)=8x+2f ( x ) = - \frac { 8 } { x + 2 }

Question 106

Multiple Choice

Use limits to describe the behavior of the rational function near the indicated asymptote.
- f(x) =8x+2f ( x ) = - \frac { 8 } { x + 2 }
Describe the behavior of the function near its vertical asymptote.


A) limx2f(x) =,limx2+f(x) =\lim _ { x \rightarrow 2 ^ { - } } f ( x ) = \infty , \lim _ { x \rightarrow 2 ^ { + } } f ( x ) = \infty
B) limx2f(x) =,limx2+f(x) =\lim _ { x \rightarrow 2 ^ { - } } f ( x ) = \infty , \lim _ { x \rightarrow 2 ^ { + } } f ( x ) = - \infty
C) limx2f(x) =,limx2+f(x) =\lim _ { x \rightarrow 2 ^ { - } } f ( x ) = \infty , \lim _ { x \rightarrow 2 ^ { + } } f ( x ) = - \infty .
D) limx2f(x) =0,limx2+f(x) =0\lim _ { x \rightarrow 2 ^ { - } } f ( x ) = 0 , \quad \lim _ { x \rightarrow 2 ^ { + } } f ( x ) = 0

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